Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/996, 67/209, 541/471 quickly i.e. 2609784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/996, 67/209, 541/471 is 2609784.
LCM(72/996, 67/209, 541/471) = 2609784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/996,67/209,541/471
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 72,67,541
Least Common Multiple of Numerators i.e. LCM of 72,67,541 is 2609784.
GCF of Denominators means GCF of 996,209,471 as per the given fractions.
GCF of 996,209,471 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,67,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 2609784
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 72,67,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,67,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,67,541) x common factors =1 x 1 = 1
LCM(72,67,541) = ( 72 × 67 × 541 ) / 1
LCM(72,67,541) = 2609784 / 1
LCM(72,67,541) = 2609784
Lets's calculate GCF of 996,209,471
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2609784/1
Therefore the LCM of Fractions 72/996,67/209,541/471 is 2609784
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Greatest Common Factor
We found the factors 996,209,471 . The biggest common factor number is the GCF number.
So the greatest common factor 996,209,471 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 72/996, 67/209, 541/471?
Answer: LCM of Numerators as per given numbers 72/996, 67/209, 541/471 is
LCM of Numerators i.e. for 72,67,541 is 2609784
GCF of denominators i.e. for 996,209,471 is 1.
Thus, LCM of Fractions is 2609784.Finally, LCM of Fractions for 72/996, 67/209, 541/471 is 2609784.